www.whyslopes.com
Appetizers and Lessons for Mathematics and Reason 
||Définition d'une variable || Algèbre || Arithmetique || Logique ||La raison basée sur les règles et modelés||
 Calculus, Preparation for Calculus and Math Ed Reform etc 

Online Volumes (Book Orders)
1,  Elements of Reason.
1A. Pattern Based Reason 
1B. Math Curriculum Notes
2. Three Skills for Algebra
3. Why Slopes & More Math
 
Mathematics Course Designers: LAMP offers food for thought.
More Site Areas 
1. Help Your Child/ Teen Learn 
2. Solving Linear Equations
3. Fractions Ratios Rates Proportions, Units
4. Euclidean Geometry
5. Analytic Geometry/Functions 
6. Number Theory
7. More Calculus
More Site Areas 
8. Complex Numbers 
9. Qc Maths  Education  
10. Secondary IV(?) maths
11. Real  Analysis 
12. LaTeX2HotEqn:
13. Electric Circuits Etc  
14.  Français
15. Algebra, Odds & Ends, Etc
More Site Areas 
16. Math Education Essays
17**. Telling & Tracking Time
18**. Maps, Plans & Drawings
19**. Quantitative Skills for  
     home and  work, etc, etc 
20**. Statistics .
** Means Under-construction.

Test the Twiddla Whiteboard

whyslopes.com
Entrance Level

Back ] Site Entrance & Hub ] Next ]

For Montreal Students:  Head Start Math Tutoring  is available from the site author. 

YOU are better than YOU think. Show yourself  how:

      |      
//  _   _ \\
/\             /\
  <|  (o)   (o)   |> 
 \     | |      / 

Read  logic chapters 1 to 5  in online volume Three Skills for Algebra  
Then seek 4 skills for algebra in it.

Learn to read notes and textbooks like a lawyer, so that no nuance, no subtlety and no clause escapes your attention

 -/[]\- 
||
   / \_ 
 ||||||||||||||||||||||||||||

 Logic Mastery
 Amazing, Amusing, Amorous,  Delicious, Delightful, Edifying, Strengthening Elixir. 
It eases work & learning difficulties Makes the hard easier. Opens eyes. Leads to greater precision.
in reading and
writing

Do not leave here without it -  Logic mastery  will develops critical thinking, improve reading and writing, and give a firmer base for work and studies at many levels. Good luck.


After logic  (a) continue reading Three Skills for Algebra, chapters 8 to 14  and do so alongside site area on solving linear2007 Equations ; or (b) see this calculus starter lesson and Volume 3, Why Slopes  & More Math, chapters 2 to 6;

      |      
//  _   _ \\
/\             /\
<|   (o)   (o)  |> 
     | |     |
   \             /   
\    =   /

Caution: Site advice is approximately correct, for some circumstances, not all. That leaves room for thought

 -/[]\- 
||
  _ / \     
 ||||||||||||||||||||||||||||

What may be learnt and when depends on how skills and concepts are developed. Making the hard easier and clearer will allow earlier & richer development of skills and concepts.


George Orwell:   Is it nonsense for arts and disciplines based on and respected for carefully  mastery of rules and methods, alone and combined, to face education reforms based on the supposition that mastery of rules and methods is not a sign of intelligence.  Would you like to rewrite 1984 to include that angle?


Try the Twiddla Whiteboard. In principle, it  allows to people to draw and chat together online on a copy of this webpage or a clean sheet. The chat may be via text or audio.  Visit twiddla.com to set up whiteboards to work with the webpage of your choice.

Precalculus sites mathsisfun & purplemath are visually more appealling than this one.  Do not go. 

For online automated help in senior high school maths & calculus, visit  quickmath.com  For Automatic Calculus and Algebra Help with derivatives, integrals, graphs, linear equations, matrix algebra, visit calc101.com  With  overlap, each site quickmath & calc101offers a different range of services, some free, some not, all based on webmathematica. Good luck.

 

 

Math, Logic and Reasoning Puzzles

Activities to engage students - to build the will to learn - and also to build skills

  1. Math Games and Activities for Kids   word problems, logic problems, math games. www.mathplayground.com
  2. SAT Math Practice

 

From http://www.k111.k12.il.us/king/math.htm#Factors/

Online Logic Puzzles/Games

  1. Battleship
  2. Peg Solitare
  3. Cut The Knot
  4. Elementary Brain Teasers 
  5. Figure This (NCTM)
  6. Interactive Fun Puzzles (many logic puzzles for both younger and older children)
  7. Marbles and Row Puzzle
  8. Mahjongg Puzzle
  9. Math Puzzles (from Discovery School)
  10. Triple Quintzee (like yahtzee)
  11. Zig Zag
  12. Math Games (by Math Playground)
  13. Logic Games (by Math Playground)

Mission Critical (Main Menu)

Fallacies and Non-Rational Persuasion


Lateral Thinking

Bottleneck
 
Q Put a coin in a bottle and then stop the opening with a cork. How can you get the coin out of the bottle without pulling out the cork or breaking the bottle?


 
A Push the cork into the bottle, and shake the coin out.
Lateral Thinking

Coast to Coast
 
Q Train A and train B are crossing the country, from coast to coast, over 3,000 miles of railroad track. Train A is going from east to west at 80 miles per hour, and Train B is going from west to east at 90 miles per hour. Which train will be closer to the west coast when they meet? (Hint: You don’t have to do any math to get the answer. Just use your head!)


 
A When the trains meet, they will be at exactly the same point. Therefore, they will each be the same distance from the west coast.
 
Lateral Thinking

Crossing the River
 
Q Jake was standing on one side of the river, and his dog Scruffy was standing on the other side. "Come on Scruffy, come, boy!" shouted Jake. Scruffy crossed the river, ran to Jake, and got a treat for being a good dog. The amazing thing was that Scruffy didn't even get wet! How did Scruffy do that?


 
A There are two possible answers:
  1. The river was frozen.
  2. There was a bridge over the river, and Scruffy crossed the bridge.
 
Lateral Thinking

Digging Dirt
 
Q How much dirt is in a round hole that is 9 feet deep with a diameter of 3 feet? (Hint: You don’t have to do any math to get the answer. Just use your head!)


 
A None. You make a hole by digging out the dirt, so the hole is empty.

 

 

 

whyslopes.com
Entrance Level

Back ] Site Entrance & Hub ] Next ]

Tutors - All Subjects
(use at your own risk)
AU:  tutorfinder.com.au
CDN :  findatutor.ca 
CDN: .i-tutor.ca
CDN: Montreal Tutors
NZ:   findatutor.co.nz
UK:   tutorhunt.com
USA:   wiziq.com
USA: ziizoo.com

Pages For Teachers

Site Entrance & Hub
Permissions for Instructors
Lesson Plans - Sec I
Lesson Plan, Sec II
Lesson Plans - Sec III
Secondary Maths, Core Elements
About Site Books & Areas
Site History/Content
Site Reviews
Vol 1. Elements of Reason
Maps Plans Drawings
Quantitative_Skills/index.html
Order  Site Books

HIP, HIP, HIP, Hooray for site
content & history. Hype, Hype,
Hype, Hoorary,
for deception.

Your IP Address  & how to use it

Pages for Students

Site Entrance & Hub
Head Start Page
25 hours per tear
More Advice & Directions
Aims to adopt to aid
Arithmetic Check List
Fraction Skill and Concept Check List
Site History and Content
Books to Read
Complex No.s Intro.,.
Calculus Motivation
Calculus. Guide Short
Calculus. Guide-Long
Calculus Guide - Longest
Links - Many Subjects
Links - Games/Activities
Long Site Intro
Still More Advice
Logos Cafe
Logic Check List
Mathematics Cafe
Math CheckList
Site Areas by Age and Subject
A Site Map
Advice for Secondary I Students
Three Ways to be a Better Student
Reason for HS Mathematics
Montreal Tutors

Three Links for Teachers:
(i) First Year High School Math - Lesson Plans with Fraction Focus (ii) Second Year High School Math - Lesson Plans with an algebra focus (iii) Algebra Lesson Plans

 

Help U Learn/ Teach

  1. Algebra
    words before symbols - direct & indirect use of formula, numerical versus algebraic solutions - what is a variable (more words)
  2. Arithmetic
    - exercises
    - with fractions
    - videos on primes, lcm, gcm,lcd, square roots etc
  3. Calculus - geometric preview, algebraic preview,
    3 study guides,
    much more
  4. Complex numbers
    -starter lesson with java applet - easy consequences  for trig & vectors in the plane
  5. Education
    - Empirical Course Design & Delivery
  6. Fractions
    - alone
    - by rote
    - with algebra
    - videos
  7. Functions - introduction
    hindsight - composition aka
    substitution
    -
  8. Geometry, Euclidean - Correspondence of trianglesTriangle construciton,  duplication & Isometry - Failure of ASA & the // line postulate - angle sum in triangles -// grams - Triangle Similarity
  9. Geometry- Analytic - functions, polynomials, complex numbers, unit circle trigonometry
  10. Logic
    - First Steps -
    Symbols in Logic -
     Occurrence & Truth Tables - Indirect Reason -Indirect Reason More
  11. Proportionality
    - Definition - Direct & Indirect Use - Numerical versus Algebraic Solutions
  12. Real Analysis
    - Decimal View of concepts and of proofs
  13. Rules &Patterns in Science, Technology & Society - Pattern Based Reason
  14. Mathematical Reasoning, empirical, inductive or deductive
  15. Units
    - in rates & slopes & (?) derivatives
    - in ratios & proportions - slopes & rates included
  16. Complex Numbers & Vectors & Trig
    trig expression for dot & cross - cosine law

[Top of this Page] [Site Exit] Back ] Site Entrance & Hub ] Next ][Comments, Reactions, Feedback]
www.whyslopes.com



All trademarks and copyrights on this page are owned by their respective owners.
Copyright to comments & contributions are owned by the Poster. 
The Rest © 1995 onward by site author,   Alan Selby,
All Rights Reserved.